Alayna knows that the North Star, Polaris, is a *pole star* appearing stationary in the sky as the Earth spins. She also knows that there is not a corresponding South Star. This piques her curiosity. She wants to figure out which star is closest to being the South Star.
By studying the night sky, she has determined that if the South Star existed it would be at the coordinates $(-2,2)$ on her star chart (shown below).
**Which star is closest to where the South Star would be, as shown on Alayna's star chart?**
[[☃ radio 1]]
**The distance from that star to where the South Star would be is [[☃ input-number 1]] units.**
Round the *final answer* to the nearest tenth of a unit. Do not round intermediate calculations.
